18(2x-5)-15(2x-4)-3(x-5)=8(2x+3)-3(2x+2)-2(3+4x)

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Solution for 18(2x-5)-15(2x-4)-3(x-5)=8(2x+3)-3(2x+2)-2(3+4x) equation:


Simplifying
18(2x + -5) + -15(2x + -4) + -3(x + -5) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Reorder the terms:
18(-5 + 2x) + -15(2x + -4) + -3(x + -5) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)
(-5 * 18 + 2x * 18) + -15(2x + -4) + -3(x + -5) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)
(-90 + 36x) + -15(2x + -4) + -3(x + -5) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Reorder the terms:
-90 + 36x + -15(-4 + 2x) + -3(x + -5) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)
-90 + 36x + (-4 * -15 + 2x * -15) + -3(x + -5) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)
-90 + 36x + (60 + -30x) + -3(x + -5) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Reorder the terms:
-90 + 36x + 60 + -30x + -3(-5 + x) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)
-90 + 36x + 60 + -30x + (-5 * -3 + x * -3) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)
-90 + 36x + 60 + -30x + (15 + -3x) = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Reorder the terms:
-90 + 60 + 15 + 36x + -30x + -3x = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Combine like terms: -90 + 60 = -30
-30 + 15 + 36x + -30x + -3x = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Combine like terms: -30 + 15 = -15
-15 + 36x + -30x + -3x = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Combine like terms: 36x + -30x = 6x
-15 + 6x + -3x = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Combine like terms: 6x + -3x = 3x
-15 + 3x = 8(2x + 3) + -3(2x + 2) + -2(3 + 4x)

Reorder the terms:
-15 + 3x = 8(3 + 2x) + -3(2x + 2) + -2(3 + 4x)
-15 + 3x = (3 * 8 + 2x * 8) + -3(2x + 2) + -2(3 + 4x)
-15 + 3x = (24 + 16x) + -3(2x + 2) + -2(3 + 4x)

Reorder the terms:
-15 + 3x = 24 + 16x + -3(2 + 2x) + -2(3 + 4x)
-15 + 3x = 24 + 16x + (2 * -3 + 2x * -3) + -2(3 + 4x)
-15 + 3x = 24 + 16x + (-6 + -6x) + -2(3 + 4x)
-15 + 3x = 24 + 16x + -6 + -6x + (3 * -2 + 4x * -2)
-15 + 3x = 24 + 16x + -6 + -6x + (-6 + -8x)

Reorder the terms:
-15 + 3x = 24 + -6 + -6 + 16x + -6x + -8x

Combine like terms: 24 + -6 = 18
-15 + 3x = 18 + -6 + 16x + -6x + -8x

Combine like terms: 18 + -6 = 12
-15 + 3x = 12 + 16x + -6x + -8x

Combine like terms: 16x + -6x = 10x
-15 + 3x = 12 + 10x + -8x

Combine like terms: 10x + -8x = 2x
-15 + 3x = 12 + 2x

Solving
-15 + 3x = 12 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-15 + 3x + -2x = 12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = 12 + 0
-15 + 1x = 12

Add '15' to each side of the equation.
-15 + 15 + 1x = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 12 + 15
1x = 12 + 15

Combine like terms: 12 + 15 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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